{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Part B: Invasion Percolation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The next percolation algorithm to be demonstrated is known as ``Invasion Percolation``. Instead of identifying connected clusters and invading them all in one go, as ``Ordinary Percolation`` does, this algorithm progresses one invasion step at a time. This is a more dynamic process and better simulates scenarios where instead of controlling the pressure at the network boundaries something else such as mass flow rate is controlled as the pressure is allowed to fluctuate up and down in order to meet the lowest available entry pressure for the growing cluster(s)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "import openpnm as op\n",
    "import numpy as np\n",
    "np.random.seed(10)\n",
    "import matplotlib.pyplot as plt\n",
    "import porespy as ps\n",
    "from ipywidgets import interact, IntSlider\n",
    "from openpnm.topotools import trim\n",
    "%matplotlib inline\n",
    "ws = op.Workspace()\n",
    "ws.settings[\"loglevel\"] = 50"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to also showcase some other network generation options we first start with a small 2D network with ``SpheresAndCylinders`` geometry."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "spacing=2.5e-5\n",
    "net = op.network.Cubic([20, 20, 1], spacing=spacing)\n",
    "geo = op.geometry.SpheresAndCylinders(network=net, pores=net.Ps, throats=net.Ts)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We then trim all the surface pores to obtain disctint sets of boundary edge pores."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "net.labels()\n",
    "net.num_throats('surface')\n",
    "trim(network=net, throats=net.throats('surface'))\n",
    "h = net.check_network_health()\n",
    "trim(network=net, pores=h['trim_pores'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then we use a function from our porespy package to generate a tomography style image of the abstract network providing the number of pixels in each dimension."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 396/396 [00:00<00:00, 2026.50it/s]\n",
      "100%|██████████| 684/684 [01:06<00:00, 10.36it/s]\n"
     ]
    }
   ],
   "source": [
    "im = op.topotools.generate_voxel_image(net, max_dim=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1000, 1000, 34)\n"
     ]
    }
   ],
   "source": [
    "print(im.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This creates a 3D image but we can crop it to get the central slice in 2D for visualization."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(5, 5))\n",
    "ax.imshow(im[25:-25, 25:-25, 18].T)\n",
    "crop = im[25:-25, 25:-25, :]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next the snow algorithm is used to do network extraction on the tomography style image. Of course if you have your own tomogrpahy image this can be used instead."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[32m2021-10-18 23:13:28\u001b[0m | \u001b[1mINFO    \u001b[0m | \u001b[36mporespy.filters._snows\u001b[0m:\u001b[36mtrim_saddle_points\u001b[0m:\u001b[36m378\u001b[0m\n",
      "--> \u001b[1mFound 170 saddle points\u001b[0m\n",
      "\u001b[32m2021-10-18 23:13:28\u001b[0m | \u001b[1mINFO    \u001b[0m | \u001b[36mporespy.filters._snows\u001b[0m:\u001b[36mtrim_saddle_points\u001b[0m:\u001b[36m378\u001b[0m\n",
      "--> \u001b[1mFound 166 saddle points\u001b[0m\n",
      "\u001b[32m2021-10-18 23:13:28\u001b[0m | \u001b[1mINFO    \u001b[0m | \u001b[36mporespy.filters._snows\u001b[0m:\u001b[36mtrim_saddle_points\u001b[0m:\u001b[36m378\u001b[0m\n",
      "--> \u001b[1mFound 165 saddle points\u001b[0m\n",
      "\u001b[32m2021-10-18 23:13:28\u001b[0m | \u001b[1mINFO    \u001b[0m | \u001b[36mporespy.filters._snows\u001b[0m:\u001b[36mtrim_saddle_points\u001b[0m:\u001b[36m378\u001b[0m\n",
      "--> \u001b[1mFound 168 saddle points\u001b[0m\n",
      "\u001b[32m2021-10-18 23:13:47\u001b[0m | \u001b[33m\u001b[1mWARNING \u001b[0m | \u001b[36mporespy.networks._snow2\u001b[0m:\u001b[36msnow2\u001b[0m:\u001b[36m142\u001b[0m\n",
      "--> \u001b[33m\u001b[1mImage was cropped to (950, 950, 17) during watershed\u001b[0m\n",
      "                                                                                         \r"
     ]
    }
   ],
   "source": [
    "snow_out = ps.networks.snow2(crop > 0, voxel_size=4e-7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(956, 956, 23)\n"
     ]
    }
   ],
   "source": [
    "print(snow_out.regions.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The SNOW algorithm provides a labelled region image containing the pore index. As zero is used for the background it is actually the pore index + 1 because python references arrays with first element as zero and we do not explicitly store the pore index."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# NBVAL_IGNORE_OUTPUT\n",
    "fig, ax = plt.subplots(figsize=(5, 5))\n",
    "reg = snow_out.regions.astype(float) - 1\n",
    "reg[reg == -1] = np.nan\n",
    "region_slice = snow_out.regions[:, :, 18] - 1\n",
    "mask = region_slice >= 0\n",
    "ax.imshow(region_slice.T);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now our new network is extracted we can fill a network object with all the properties and begin simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "wrk = op.Workspace()\n",
    "wrk.clear()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "net, geo = op.io.PoreSpy.import_data(snow_out.network)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A helper function is defined for plotting a particular data set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "def update_image(data):\n",
    "    data = data.astype(float)\n",
    "    out_im = np.ones(region_slice.shape, dtype=float)*-1\n",
    "    out_im[mask] = data[region_slice[mask]]\n",
    "    out_im[~mask] = np.nan\n",
    "    return out_im"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# NBVAL_IGNORE_OUTPUT\n",
    "fig, ax = plt.subplots(figsize=(5, 5))\n",
    "out = update_image(net['pore.diameter'])\n",
    "ax.imshow(out.T);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Again, stadard physics is used to define the capillary entry pressures. And these are shown as a histogram for all the throats in the network."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "water = op.phases.Water(network=net)\n",
    "phys = op.physics.Basic(network=net, geometry=geo, phase=water)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# NBVAL_IGNORE_OUTPUT\n",
    "fig, ax = plt.subplots(figsize=[5, 5])\n",
    "ax.hist(phys['throat.entry_pressure'], bins=10);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, the algorithm is defined and run with no arguments or outlets defined. This will proceed step by step assessing which pores are currently invaded (i.e. inlets first), which throats connect to an uninvaded pore and of these, which throat has the lowest capillary entry pressure for invasion. Invasion then proceeds along the path of least capillary resistance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# NBVAL_IGNORE_OUTPUT\n",
    "alg_ip = op.algorithms.InvasionPercolation(network=net, phase=water)\n",
    "alg_ip.set_inlets(pores=net.pores('xmin'))\n",
    "alg_ip.run()\n",
    "fig, ax = plt.subplots(figsize=(5, 5))\n",
    "out = update_image(alg_ip['pore.invasion_sequence'])\n",
    "plt.imshow(out.T);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_invasion(seq):\n",
    "    data = alg_ip['pore.invasion_sequence'] < seq\n",
    "    fig, ax = plt.subplots(figsize=(5, 5))\n",
    "    out = update_image(data)\n",
    "    plt.imshow(out.T);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using the slider below we can interactively plot the saturation at each invasion step (this works best using the left and right arrow keys)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "max_seq = alg_ip['pore.invasion_sequence'].max()\n",
    "interact(plot_invasion, seq=IntSlider(min=0, max=max_seq, step=1, value=200));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As with ``Ordinary Percolation`` we can plot a drainage or intrusion curve but this time the capillary pressure is plotted from one step to the next as a continuous process with dynamic pressure boundary conditions and so is allowed to increase and decrease to meet the next lowest entry pressure for the invading cluster."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(5, 5))\n",
    "alg_ip.plot_intrusion_curve(ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can compare the results of the two algorithms and see that the pressure envelope, i.e. maximum pressure reached historically by the invasion process is the same as the ordinary percolation value."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "------------------------------------------------------------\n",
      "WARNING    : Inlets have non-zero volume, percolation curve won't start at 0. \n",
      "SOURCE     : openpnm.algorithms.OrdinaryPercolation.get_intrusion_data \n",
      "TIME STAMP : 2021-10-18 23:17:44,994\n",
      "------------------------------------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(5, 5))\n",
    "alg_op = op.algorithms.OrdinaryPercolation(network=net, phase=water)\n",
    "alg_op.set_inlets(net.pores('xmin'))\n",
    "alg_op.settings.update({'pore_volume': 'pore.volume',\n",
    "                        'throat_volume': 'throat.volume'})\n",
    "alg_op.run(points=1000)\n",
    "alg_op.plot_intrusion_curve(ax)\n",
    "alg_ip.plot_intrusion_curve(ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "An additional feature of the algorithm is the ability to identify where the defending phase becomes trapped. Whether this happens in reality in-fact relies on the connectivity of the defending phase and whether it can reside in the invaded pores as thin wetting films. If not then the defending phase is completely pushed out of a pore when invaded and it can become isolated and trapped when encircled by the invading phase. OpenPNM actually calculates this trapping as a post-process, employing some clever logic described by [Masson 2016](http://dx.doi.org/10.1016/j.cageo.2016.02.003)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "alg_ip_t = op.algorithms.InvasionPercolation(network=net, phase=water)\n",
    "alg_ip_t.set_inlets(pores=net.pores('xmin'))\n",
    "alg_ip_t.run()\n",
    "alg_ip_t.apply_trapping(outlets=net.pores(['boundary']))\n",
    "fig, ax = plt.subplots(figsize=(5, 5))\n",
    "out = update_image(alg_ip_t['pore.trapped'])\n",
    "ax.imshow(out.T);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here a reasonable fraction of the pore space is not invaded due to trapping of the defending phase. Generally this fraction will be lower in truly 3D networks as there are more routes out of the network because pores have higher connectivity. Also, typically if a defending phase is considered to be wetting then film flow is assumed to allow residual defending phase to escape. However, we can show the differences on one plot with and without trapping below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(5, 5))\n",
    "alg_ip.plot_intrusion_curve(ax)\n",
    "alg_ip_t.plot_intrusion_curve(ax)"
   ]
  }
 ],
 "metadata": {
  "@webio": {
   "lastCommId": null,
   "lastKernelId": null
  },
  "kernelspec": {
   "display_name": "Python 3 (Spyder)",
   "language": "python3",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.6"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": true,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": true,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
